What is the Least Common Multiple of 7488 and 7500?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 7488 and 7500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7488 and 7500, than apply into the LCM equation.

GCF(7488,7500) = 12
LCM(7488,7500) = ( 7488 × 7500) / 12
LCM(7488,7500) = 56160000 / 12
LCM(7488,7500) = 4680000

Least Common Multiple (LCM) of 7488 and 7500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7488 and 7500. First we will calculate the prime factors of 7488 and 7500.

Prime Factorization of 7488

Prime Factorization of 7500

Now multiplying the highest exponent prime factors to calculate the LCM of 7488 and 7500.

LCM(7488,7500) = 2⁶ × 3² × 13¹ × 5⁴
LCM(7488,7500) = 4680000